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Finding the Fourth Proportional to 789.23, 1,183.44 and 460.28

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Solution

The fourth proportional to 789.23, 1,183.44 and 460.28 is: 690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.23 : 1,183.44 = 460.28 : x
  2. Step 2: Convert to fraction form
    789.23/1,183.44 = 460.28/x
  3. Step 3: Cross multiply
    789.23x = 1,183.44 × 460.28
  4. Step 4: Simplify right side
    789.23x = 544,718.45
  5. Step 5: Solve for x
    x = 544,718.45/789.23
  6. Step 6: Final answer
    x = 690.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.